40513200000 has 1152 divisors, whose sum is σ = 171683699040. Its totient is φ = 8386560000.

The previous prime is 40513199999. The next prime is 40513200023. The reversal of 40513200000 is 231504.

40513200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 764399974 + ... + 764400026.

Almost surely, 2^40513200000 is an apocalyptic number.

40513200000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40513200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85841849520).

40513200000 is an abundant number, since it is smaller than the sum of its proper divisors (131170499040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40513200000 is an equidigital number, since it uses as much as digits as its factorization.

40513200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 40513200000 its reverse (231504), we get a palindrome (40513431504).

The spelling of 40513200000 in words is "forty billion, five hundred thirteen million, two hundred thousand".